Решите уравнение: (2x-3)/3+(7x-13)/6+(5-2x)/2=x-1.

Ответ:

\[\frac{2x - 3}{3} + \frac{7x - 13}{6} + \frac{5 - 2x}{2} = x - 1\ \ \ | \cdot 6\]

\[2 \cdot (2x - 3) + 7x - 13 + 3 \cdot (5 - 2x) =\]

\[= 6 \cdot (x - 1)\]

\[4x - 6 + 7x - 13 + 15 - 6x =\]

\[= 6x - 6\]

\[5x - 6x = - 6 + 4\]

\[- x = - 2\]

\[x = 2.\]